A219142 T(n,k)=Unchanging value maps: number of nXk binary arrays indicating the locations of corresponding elements unequal to no horizontal, diagonal or antidiagonal neighbor in a random 0..2 nXk array.

1, 2, 1, 4, 6, 1, 7, 18, 18, 1, 12, 39, 78, 51, 1, 21, 96, 281, 331, 142, 1, 37, 225, 1072, 1774, 1400, 405, 1, 65, 543, 4033, 10505, 11385, 5949, 1157, 1, 114, 1293, 15255, 59127, 101600, 73136, 25277, 3289, 1, 200, 3096, 57963, 341648, 872437, 989947

Offset

1,2

Comments

Table starts

.1......2........4..........7..........12...........21............37

.1......6.......18.........39..........96..........225...........543

.1.....18.......78........281........1072.........4033.........15255

.1.....51......331.......1774.......10505........59127........341648

.1....142.....1400......11385......101600.......872437.......7640541

.1....405.....5949......73136......989947.....12867295.....170792866

.1...1157....25277.....472638.....9702349....191707377....3862325048

.1...3289...107353....3050285....94937311...2851740545...87205791997

.1...9344...455938...19667721...927766394..42351530487.1964627314453

.1..26580..1936500..126807809..9067631046.628917557052

.1..75621..8224877..817795362.88653591037

.1.215076.34933256.5274346426

Links

R. H. Hardin, Table of n, a(n) for n = 1..127

Example

Some solutions for n=3 k=4
..1..0..0..1....1..1..1..1....1..0..0..0....0..0..0..0....0..0..0..0
..0..0..0..0....1..0..1..0....1..0..0..1....0..0..0..1....1..0..1..0
..0..0..1..0....1..0..0..0....1..0..0..1....0..0..0..0....1..0..0..0

Crossrefs

Row 1 is A005251(n+2)

Sequence in context: A391886 A396711 A219441 * A220226 A181854 A109822

Adjacent sequences: A219139 A219140 A219141 * A219143 A219144 A219145

Keyword

nonn,tabl

Author

R. H. Hardin, Nov 12 2012

Status

approved